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Finding the Fourth Proportional to 686.07, 945.27 and 667.64

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Solution

The fourth proportional to 686.07, 945.27 and 667.64 is: 919.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.07 : 945.27 = 667.64 : x
  2. Step 2: Convert to fraction form
    686.07/945.27 = 667.64/x
  3. Step 3: Cross multiply
    686.07x = 945.27 × 667.64
  4. Step 4: Simplify right side
    686.07x = 631,102.43
  5. Step 5: Solve for x
    x = 631,102.43/686.07
  6. Step 6: Final answer
    x = 919.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.